QuestionFind the determinant of the matrices below by inspection (where x and y are scalars).That is by using the properties of determinants and not by direct evaluation. Give yourreasons(s) in each case.a.b.C.C=AU =AB=-2²y700 02x 0 0-8.r50-8 -zy 2 3y5-3y4y2yy-z²y 072x5-8r12x 9 -616x 6 8-82-643-200520003ywhere matrix A is the same matrix defined in (a);;;5y -1 2x0-2.r009-I-70 1 -20 0-3yd. The matrix D where D = -5P², the matrix P is a 3 x 3 matrix and the det P = 8.

As you are posted question having subparts more than three but according to bartleby guidelines we…

Question Find the determinant of the matrices below by inspection (where x and y are scalars). That is by using the properties of determinants and not by direct evaluation. Give your reasons(s) in each case. a. b. C. C=AU = A B= -z²y 7 5 -2²y 7 0 0 0 2x 0 0 -8.r 5 0 -8 -zy 2 3y 5 -3y 4y 2y y 0 2x -8r 12x 9 -6 16x 6 8 -82-6 4 -2 0 0 5 2 3 0 0 0 3y where matrix A is the same matrix defined in (a); : ; 5y -1 2x 0 -2.r 0 0 9 -I -7 0 1 -2 0 0 -3y d. The matrix D where D = -5P², the matrix P is a 3 x 3 matrix and the det P = 8.